Relativistic Landau–Aharonov–Casher quantization of a Duffin–Kemmer–Petiau spinless boson with Lorentz violation

Abstract

We discuss the relativistic Landau–Aharonov–Casher quantization for a neutral spin-zero boson particle by incorporating a new nonminimal coupling associated with the effect of the Lorentz symmetry violation. The spinless boson is described by the generalized Duffin–Kemmer–Petiau equation, with various central potentials induced by the Lorentz symmetry violation term through the interaction of a space-like fixed vector and electric field in curvilinear space–time. We discuss the effect of the Lorentz symmetry violation on the bosons for those special potentials. We also obtain analytically the corresponding relativistic Landau–Aharonov–Casher quantization related to this system.